Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Gilbert Stengle"'
Publikováno v:
Journal of Pure and Applied Algebra. 214:370-379
We use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination of quantifiers) to formulate a theory of convexity in K N over an arbitrary ordered field. By defining certain ideal points (which can be viewed as generalizat
Autor:
Gilbert Stengle
Publikováno v:
Journal of Complexity. 12(2):167-174
LetKbe a closed basic set inRngiven by the polynomial inequalities φ1≥ 0, ... , φm≥ 0 and let Σ be the semiring generated by the φkand the squares inR[x1, ... ,xn]. Schmüdgen has shown that ifKis compact then any polynomial function strictly
Autor:
Gilbert Stengle, Bennett Eisenberg
Publikováno v:
Journal of Mathematical Analysis and Applications. 198:458-472
Suppose that the scores of k players are independent integer valued random variables with probabilities p j , j =1, 2,…, n . We investigate the distributions which minimize the probability of a tie for the highest score and show that these satisfy
Publikováno v:
Statistics & Probability Letters. 23:203-209
Suppose that the scores of n players are unbounded, independent, integer valued random variables equal in distribution to X. We show that as n → ∞, the limiting probability of a tie for the highest score exists if and only if P(X = j)/P(X > j)
Autor:
Gilbert Stengle
Publikováno v:
Numerische Mathematik. 70:119-128
We analyze a randomized algorithm for solving the initial value problem for the finite dimensional system\( {dy \over dt} = f (t, y)\; ; \quad y (t_0) = y_0 \) on a finite interval under the hypothesis that \(f\) is smooth in\(y\) but no more than bo
Autor:
Gilbert Stengle, Hasan Yousef
Publikováno v:
Geometriae Dedicata. 52:195-208
We introduce a functor Sph, the spherical spectrum, which assigns to a graded ringG a space Sph(G) of homogeneous orderings ofG. It combines ideas of concrete geometry in theN-sphere defined by positively homogeneous polynomial equations and inequali
Autor:
Gilbert Stengle
Publikováno v:
Contemporary Mathematics. :243-246
Autor:
Gilbert Stengle
Publikováno v:
Discrete & Computational Geometry. 6:163-169
LetP(z) be a polynomial of degreen with complex coefficients. Theorem.There exists a constant C such that if P has at most k terms then the number of zeros of P in any open sector of aperture ?/n at the origin is no more than Ck2. The main point of t
Autor:
Gilbert Stengle
Publikováno v:
Applied Mathematics Letters. 3(4):25-29
Autor:
Ludwig Bröcker, Gilbert Stengle
Publikováno v:
Mathematische Zeitschrift. 203:629-633